Unbinding of giant vortices in states of competing order
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We consider a two-dimensional system with two order parameters, one with O(2) symmetry and one with O(M), near a point in parameter space where they couple to become a single O(2+M) order. While the O(2) sector supports vortex excitations, these vortices must somehow disappear as the high symmetry point is approached. We develop a variational argument which shows that the size of the vortex cores diverges as 1/root Delta and the Berezinskii-Kosterlitz-Thouless transition temperature of the O(2) order vanishes as 1/1n(1/Delta), where Delta denotes the distance from the high-symmetry point. Our physical picture is confirmed by a renormalization group analysis which gives further logarithmic corrections, and demonstrates full symmetry restoration within the cores.
Fellows , J M , Carr , S T , Hooley , C A & Schmalian , J 2012 , ' Unbinding of giant vortices in states of competing order ' , Physical Review Letters , vol. 109 , no. 15 , 155703 . https://doi.org/10.1103/PhysRevLett.109.155703
Physical Review Letters
© 2012 American Physical Society